On Convergence of Computational Algorithms for a Variational Problem of Identifying the Coefficients of Difference Equations

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On Convergence of Computational Algorithms for a Variational Problem of Identifying the Coefficients of Difference Equations. / Lomov, A. A.

In: Journal of Applied and Industrial Mathematics, Vol. 14, No. 3, 01.08.2020, p. 541-554.

Research output: Contribution to journal › Article › peer-review

BibTeX

@article{348903e19b894382b2dde6d732fb2bb6,

title = "On Convergence of Computational Algorithms for a Variational Problem of Identifying the Coefficients of Difference Equations",

abstract = "Under consideration is the variational problem of identifying the coefficients of differenceequations which the modified Prony method of extracting the sinusoids and exponentials fromobservations reduces to. We study the convergence of computational algorithms that are based oninverse iterations in a variable metric.",

keywords = "coefficient identification, convergence, difference equations, inverse iterations, modified Prony method, nonlinear eigenvalue problem, variational identification method",

author = "Lomov, {A. A.}",

note = "Funding Information: The author was supported by the Russian Foundation for Basic Research (project no. 19–01–00754) and by the State Task to the Sobolev Institute of Mathematics (project no. 0314–2019–0010). Publisher Copyright: {\textcopyright} 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.",

year = "2020",

month = aug,

day = "1",

doi = "10.1134/S1990478920030138",

language = "English",

volume = "14",

pages = "541--554",

journal = "Journal of Applied and Industrial Mathematics",

issn = "1990-4789",

publisher = "Maik Nauka-Interperiodica Publishing",

number = "3",

}

RIS

TY - JOUR

T1 - On Convergence of Computational Algorithms for a Variational Problem of Identifying the Coefficients of Difference Equations

AU - Lomov, A. A.

N1 - Funding Information: The author was supported by the Russian Foundation for Basic Research (project no. 19–01–00754) and by the State Task to the Sobolev Institute of Mathematics (project no. 0314–2019–0010). Publisher Copyright: © 2020, Pleiades Publishing, Ltd. Copyright: Copyright 2020 Elsevier B.V., All rights reserved.

PY - 2020/8/1

Y1 - 2020/8/1

N2 - Under consideration is the variational problem of identifying the coefficients of differenceequations which the modified Prony method of extracting the sinusoids and exponentials fromobservations reduces to. We study the convergence of computational algorithms that are based oninverse iterations in a variable metric.

AB - Under consideration is the variational problem of identifying the coefficients of differenceequations which the modified Prony method of extracting the sinusoids and exponentials fromobservations reduces to. We study the convergence of computational algorithms that are based oninverse iterations in a variable metric.

KW - coefficient identification

KW - convergence

KW - difference equations

KW - inverse iterations

KW - modified Prony method

KW - nonlinear eigenvalue problem

KW - variational identification method

UR - http://www.scopus.com/inward/record.url?scp=85094637090&partnerID=8YFLogxK

U2 - 10.1134/S1990478920030138

DO - 10.1134/S1990478920030138

M3 - Article

AN - SCOPUS:85094637090

VL - 14

SP - 541

EP - 554

JO - Journal of Applied and Industrial Mathematics

JF - Journal of Applied and Industrial Mathematics

SN - 1990-4789

IS - 3

ER -

ID: 25993058